10886013169920 has 2160 divisors, whose sum is σ = 48165127219440. Its totient is φ = 2336329433088.

The previous prime is 10886013169879. The next prime is 10886013169937. The reversal of 10886013169920 is 2996131068801.

10886013169920 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 601 + 3 + 1 + 6 + 9 + 9 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 226362802176 + 10659650367744 = 475776^2 + 3264912^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5451182362 + ... + 5451184358.

It is an arithmetic number, because the mean of its divisors is an integer number (22298670009).

Almost surely, 2^{10886013169920} is an apocalyptic number.

10886013169920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10886013169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24082563609720).

10886013169920 is an abundant number, since it is smaller than the sum of its proper divisors (37279114049520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10886013169920 is a wasteful number, since it uses less digits than its factorization.

10886013169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 10886013169920 in words is "ten trillion, eight hundred eighty-six billion, thirteen million, one hundred sixty-nine thousand, nine hundred twenty".